12088780200 has 720 divisors, whose sum is σ = 49658813820. Its totient is φ = 2717245440.

The previous prime is 12088780169. The next prime is 12088780211. The reversal of 12088780200 is 208788021.

It can be written as a sum of positive squares in 6 ways, for example, as 2894655204 + 9194124996 = 53802^2 + 95886^2 .

It is a super-2 number, since 2×12088780200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76998522 + ... + 76998678.

Almost surely, 2^12088780200 is an apocalyptic number.

12088780200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12088780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24829406910).

12088780200 is an abundant number, since it is smaller than the sum of its proper divisors (37570033620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12088780200 is a wasteful number, since it uses less digits than its factorization.

12088780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12088780200 in words is "twelve billion, eighty-eight million, seven hundred eighty thousand, two hundred".